三阶p-Laplacian奇异边值问题正解的多重性

The Multiplicity of Singular Boundary Value Problem for a Class of Third Order p-Laplacian Equations

应用一个凸锥上的不动点定理,讨论了一类三阶p-Laplacian奇异边值问题正解的多重性,得到了这类边值问题存在多个正解的充分条件.最后,给出了一个具体的例子.

In this paper, by using a fixed point theorem in the convex cone, we consider the multiplicity of singular boundary value problem for a class of third order p-Laplacian equations, some multiplicity results of the positive solutions are obtained. An example is that also inclued to illustrate the importance of the results obtained.